• HOME
    KOREAN
    CHINESS
    SITE MAP
    JOIN
  • Username (Site Login ID)
  • Password
  • Forgot your password?

  • À§Çè°ü¸® | Cases and Studies of Risk Management in Lottery & Gambling | êËúÏη×â

    date : 2015-05-20 01:10|hit : 2618
    Article] Risk Preferences and Their Robust Representation
    DocNo of ILP: 841

    Doc. Type: Article

    Title: Risk Preferences and Their Robust Representation

    Authors: Drapeau, S; Kupper, M

    Full Name of Authors: Drapeau, Samuel; Kupper, Michael

    Keywords by Author: risk perception; risk measures; robustness

    Keywords Plus: PORTFOLIO SELECTION; EXPECTED UTILITY; CONVEX; CONTINUITY; AMBIGUITY; DUALITY; RISKINESS; CERTAINTY

    Abstract: To address the plurality of interpretations of the subjective notion of risk, we describe it by means of a risk order and concentrate on the context invariant features of diversification and monotonicity. Our main results are uniquely characterized robust representations of lower semicontinuous risk orders on vector spaces and convex sets. This representation covers most instruments related to risk and allows for a differentiated interpretation depending on the underlying context that is illustrated in different settings: for random variables, risk perception can be interpreted as model risk, and we compute among others the robust representation of the economic index of riskiness. For lotteries, risk perception can be viewed as distributional risk and we study the "value at risk." For consumption patterns, which excerpt an intertemporality dimension in risk perception, we provide an interpretation in terms of discounting risk and discuss some examples.

    Cate of OECD: Economics and business

    Year of Publication: 2013

    Business Area: lottery

    Detail Business: lottery

    Country: Germany

    Study Area: economy, economy, computer engineering, computer, preference, risk

    Name of Journal: MATHEMATICS OF OPERATIONS RESEARCH

    Language: English

    Country of Authors: [Drapeau, Samuel; Kupper, Michael] Humboldt Univ, D-10099 Berlin, Germany

    Press Adress: Drapeau, S (reprint author), Humboldt Univ, D-10099 Berlin, Germany.

    Email Address: drapeau@math.hu-berlin.de; kupper@math.hu-berlin.de

    Citaion:

    Funding: MATHEON project [E.11]; Berlin Mathematical School; DFG [IRTG 1339]; Vienna Science and Technology Fund

    Lists of Citation: Acciaio B, 2012, FINANC STOCH, V16, P669, DOI 10.1007/s00780-012-0176-1; Aliprantis C. D., 2006, INFINITE DIMENSIONAL; ANSCOMBE FJ, 1963, ANN MATH STAT, V34, P199, DOI 10.1214/aoms/1177704255; Artzner P, 1999, MATH FINANC, V9, P203, DOI 10.1111/1467-9965.00068; Aumann RJ, 2008, J POLIT ECON, V116, P810, DOI 10.1086/591947; BENTAL A, 1986, MANAGE SCI, V32, P1445, DOI 10.1287/mnsc.32.11.1445; Ben-Tal A, 2007, MATH FINANC, V17, P449, DOI 10.1111/j.1467-9965.2007.00311.x; BORWEIN JM, 1987, P AM MATH SOC, V99, P49, DOI 10.2307/2046269; Bosi G, 2002, J MATH ECON, V38, P311, DOI 10.1016/S0304-4068(02)00058-7; Brown D, 2012, MANAGEMENT SCI; Campion MJ, 2006, MATH SOC SCI, V51, P227, DOI 10.1016/j.mathsocsci.2005.07.007; Cerny A., 2003, European Finance Review, V7, DOI 10.1023/A:1024568429527; Cerreia-Vioglio S, 2011, J ECON THEORY, V146, P1275, DOI 10.1016/j.jet.2011.05.006; Cerreia-Vioglio S, 2009, PREPRINT; Cerreia-Vioglio S, 2011, MATH FINANC, V21, P743, DOI 10.1111/j.1467-9965.2010.00450.x; Cerreia-Vioglio S, 2011, MATH OPER RES, V36, P321, DOI 10.1287/moor.1110.0483; Cheridito Patrick, 2011, International Journal of Theoretical and Applied Finance, V14, DOI 10.1142/S0219024911006292; Cheridito P., 2009, MATH FINANCIAL EC, V2, P173; Cheridito P, 2011, EUROPEAN AC IN PRESS; Cheridito P, 2009, MATH FINANC, V19, P189, DOI 10.1111/j.1467-9965.2009.00364.x; Cherny A, 2009, REV FINANC STUD, V22, P2571, DOI 10.1093/rfs/hhn081; CROUZEIX JP, 1980, MATH OPER RES, V5, P120, DOI 10.1287/moor.5.1.120; de Finetti B., 1949, ANN MAT PUR APPL, V30, P173; Debreu G, 1954, DECISION PROCESSES, P159; DEBREU G, 1964, INT ECON REV, V5, P285, DOI 10.2307/2525513; Delbaen F, 2011, J MATH ECON, V47, P401, DOI 10.1016/j.jmateco.2011.04.002; El Karoui N, 2009, MATH FINANC, V19, P561; Follmer H., 2009, HDB NUMERICAL ANAL, V15, P29; Follmer H, 2002, FINANC STOCH, V6, P429, DOI 10.1007/s007800200072; FOLLMER H., 2004, DEGRUYTER STUDIES MA, V27; Foster DP, 2009, J POLIT ECON, V117, P785; Frittelli M, 2002, J BANK FINANC, V26, P1473, DOI 10.1016/S0378-4266(02)00270-4; GILBOA I, 1989, J MATH ECON, V18, P141, DOI 10.1016/0304-4068(89)90018-9; Greenberg H.P., 1973, CAHIERS CTR ETUDES R, V15, P437; Heath D, 2000, LECT 1 WORLD C BACH; HINDY A, 1992, J MATH ECON, V21, P401, DOI 10.1016/0304-4068(92)90032-3; Keynes JM, 1937, Q J ECON, V51, P209, DOI 10.2307/1882087; Klibanoff P, 2005, ECONOMETRICA, V73, P1849, DOI 10.1111/j.1468-0262.2005.00640.x; Knight F. H., 1921, RISK UNCERTAINTY PRO; Luhmann N, 1996, SOCIAL SCI RES CTR O; Luhmann N., 2002, RISK SOCIOLOGICAL TH; Maccheroni F, 2009, MATH FINANC, V19, P487; Maccheroni F, 2006, ECONOMETRICA, V74, P1447, DOI 10.1111/j.1468-0262.2006.00716.x; Markowitz H, 1952, J FINANC, V7, P77, DOI 10.2307/2975974; Mongin P., 2001, DECISIONS EC FINANCE, V24, P59, DOI 10.1007/s102030170010; Namioka I, 1957, PARTIALLY ORDERED LI, V24; Penot J-P., 1990, MATH METHOD OPER RES, V34, P117; PENOT JP, 1990, MATH OPER RES, V15, P597, DOI 10.1287/moor.15.4.597; Rockafella RT, 1970, PRINCETON MATH SERIE; Ruszczynski A, 2006, MATH OPER RES, V31, P433, DOI 10.1287/moor.1050.0186; Savage L. J., 1972, FDN STAT; SHARPE WF, 1964, J FINANC, V19, P425, DOI 10.2307/2977928; Von Neumann J., 1947, THEORY GAMES EC BEHA; Weber S, 2006, MATH FINANC, V16, P419, DOI 10.1111/j.1467-9965.2006.00277.x

    Number of Citaion: 54

    Publication: INFORMS

    City of Publication: HANOVER

    Address of Publication: 7240 PARKWAY DR, STE 310, HANOVER, MD 21076-1344 USA

    ISSN: 0364-765X

    29-Character Source Abbreviation: MATH OPER RES

    ISO Source Abbreviation: Math. Oper. Res.

    Volume: 38

    Version: 1

    Start of File: 28

    End of File: 62

    DOI: 10.1287/moor.1120.0560

    Number of Pages: 35

    Web of Science Category: Operations Research & Management Science; Mathematics, Applied

    Subject Category: Operations Research & Management Science; Mathematics

    Document Delivery Number: 093KE

    Unique Article Identifier: WOS:000315190000002

    [ÀÌ °Ô½Ã¹°Àº HyeJung Mo¡¦´Ô¿¡ ÀÇÇØ 2015-05-20 17:09:59 GAMBLING¿¡¼­ À̵¿ µÊ]
    reply : 0
  • list
  • prev
  • next